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Handbook of finite fields /

Mullen, Gary L.

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Handbook of finite fields /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Handbook of finite fields // Gary L. Mullen, Daniel Panario.
其他作者:	Mullen, Gary L.
出版者:	Boca Raton :CRC Press, : 2013.,
面頁冊數:	xxxv, 1033 p. ;27 cm.
標題:	Finite fields (Algebra) -
ISBN:	9781439873786 (hbk.) :

Handbook of finite fields /
Handbook of finite fields /Gary L. Mullen, Daniel Panario. - Boca Raton :CRC Press,2013. - xxxv, 1033 p. ;27 cm. - Discrete mathematics and its applications. - Discrete mathematics and its applications..

Includes bibliographical references (p. 851-1010) and index.

Introduction to finite fields -- History of finite fields --

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

ISBN: 9781439873786 (hbk.) :UK89.00

LCCN: 2013013450Subjects--Topical Terms:

579167
Finite fields (Algebra)

LC Class. No.: QA247.3 / .M854 2013

Dewey Class. No.: 512/.3

Handbook of finite fields /
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245 1 0 $a Handbook of finite fields / $c Gary L. Mullen, Daniel Panario.
260 # $a Boca Raton : $b CRC Press, $c 2013.
300 $a xxxv, 1033 p. ; $c 27 cm.
490 1 $a Discrete mathematics and its applications
504 $a Includes bibliographical references (p. 851-1010) and index.
505 0 # $g History of finite fields -- $t Introduction to finite fields -- $t Irreducible polynomials -- $t Primitive polynomials -- $t Bases -- $t Exponential and character sums -- $t Equations over finite fields -- $t Permutation polynomials -- $t Special functions over finite fields -- $t Sequences over finite fields -- $t Algorithms -- $t Curves over finite fields -- $t Miscellaneous theoretical topics -- $t Combinatorial -- $t Algebraic Coding Theory -- $t Cryptography -- $t Miscellaneous Applications.
520 # $a Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.
520 # $a Preface The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference book for the theory and applications of nite elds. It is not intended to be an introductory textbook. Our goal is to compile in one volume the state of the art in research in nite elds and their applications. Hence, our aim is a comprehensive book, with easy-to-access references for up-to-date facts and results regarding nite elds. The Handbook is organized into three parts. Part I contains just one chapter which is devoted to the history of nite elds through the 18-th and 19-th centuries. Part II contains theoretical properties of nite elds. This part of the Handbook contains 12 chapters. Chapter 2 deals with basic properties of nite elds; properties that are used in various places throughout the entire Handbook. Near the end of Section 2.1 is a rather extensive list of recent nite eld-related books; these books include textbooks, books dealing with theoretical topics as well as books dealing with various applications to such topics as combinatorics, algebraic coding theory for the error-free transmission of information, and cryptography for the secure transmission of information. Also included is a list of recent nite eld-related conference proceedings volumes. Chapter 2 also provides rather extensive tables of polynomials useful when dealing with nite eld computational issues. The website http://www.crcpress.com/product/isbn/ 9781439873786 provides larger and more extensive versions of the tables presented in Section.
650 # 0 $a Finite fields (Algebra) $3 579167
700 1 # $a Mullen, Gary L. $3 706621
700 1 # $a Panario, Daniel, $d 1959- $3 952247
830 0 $a Discrete mathematics and its applications. $3 954874